Experimental Investigation of the Wall-Effect on a Cylindrical Obstacle Moving in a Viscous Fluid at Low Reynolds Numbers

1964 ◽  
Vol 19 (6) ◽  
pp. 1024-1030 ◽  
Author(s):  
Sadatoshi Taneda
Keyword(s):  
Experimental Investigation ◽  
Viscous Fluid ◽  
Reynolds Numbers ◽  
Wall Effect ◽  
Low Reynolds Numbers ◽  
Cylindrical Obstacle ◽  
Low Reynolds

Flow of a viscous fluid past a flexible membrane at low Reynolds numbers

1992 ◽  
Vol 9 (5-6) ◽  
pp. 289-299 ◽  
Author(s):  
Kyoji Yamamoto ◽  
Makoto Okada ◽  
Jun-ichi Kameyama
Keyword(s):  
Viscous Fluid ◽  
Reynolds Numbers ◽  
Flexible Membrane ◽  
Low Reynolds Numbers ◽  
Low Reynolds

Flow of viscous fluid over a perforated boundary at low reynolds numbers

1987 ◽  
Vol 21 (5) ◽  
pp. 822-825
Author(s):  
M. A. Brutyan ◽  
P. L. Krapivskii
Keyword(s):  
Viscous Fluid ◽  
Reynolds Numbers ◽  
Low Reynolds Numbers ◽  
Low Reynolds

The Rayleigh problem for a wavy wall

1976 ◽  
Vol 77 (2) ◽  
pp. 243-256 ◽  
Author(s):  
P. N. Shankar ◽  
U. N. Sinha
Keyword(s):  
Viscous Fluid ◽  
Perturbation Expansion ◽  
Reynolds Numbers ◽  
Wavy Wall ◽  
Low Reynolds Numbers ◽  
Fluid Field ◽  
Rayleigh Problem ◽  
Straight Wall ◽  
Low Reynolds ◽  
High Reynolds

The problem of the flow generated in a viscous fluid by the impulsive motion of a wavy wall is treated as a perturbation about the known solution for a straight wall. It is shown that, while a unified treatment for high and low Reynolds numbers is possible in principle, the two limiting cases have to be treated separately in order to get results in closed form. It is also shown that a straightforward perturbation expansion in Reynolds number is not possible because the known solution is of exponential order in that parameter. At low Reynolds numbers the waviness of the wall quickly ceases to be of importance as the liquid is dragged along by the wall. At high Reynolds numbers on the other hand, the effects of viscosity are shown to be confined to a narrow layer close to the wall and the known potential sohtion emerges in time. The latter solution is a good illustration of the interaction between a viscous fluid field and its related inviscid field.

An experimental investigation of the instability of a two-dimensional jet at low Reynolds numbers

1964 ◽  
Vol 20 (2) ◽  
pp. 337-352 ◽  
Author(s):  
Hiroshi Sato ◽  
Fujihiko Sakao
Keyword(s):  
Experimental Investigation ◽  
Reynolds Number ◽  
Maximum Velocity ◽  
Reynolds Numbers ◽  
Two Dimensional ◽  
Low Reynolds Numbers ◽  
Laminar Jet ◽  
Artificial Disturbance ◽  
Low Reynolds ◽  
The Stability

An experimental investigation was made of the stability of a two-dimensional jet at low Reynolds numbers with extremely small residual disturbances both in and around the jet. The velocity distribution of a laminar jet is in agreement with Bickley's theoretical result. The stability and transition of a laminar jet are characterized by the Reynolds number based on the slit width and the maximum velocity of the jet. When the Reynolds number is less than 10, the whole jet is laminar. When the Reynolds number is between 10 and around 50, periodic velocity fluctuations are found in the jet. They die out as they travel downstream without developing into irregular fluctuations. When the Reynolds number exceeds about 50, periodic fluctuations develop into irregular, turbulent fluctuations. The frequency of the periodic fluctuation is roughly proportional to the square of the jet velocity.The stability of the jet against an artificially imposed disturbance was also investigated. Sound was used as an artificial disturbance. The disturbance is either amplified or damped in the jet depending on its frequency. The conventional stability theory was modified by considering the streamwise increase of Reynolds number. The experimental results are in agreement with the theoretical results.

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